Finite Volume Methods for Hyperbolic Problems |
|
| Author:
| LeVeque, Randall J. |
| Contribution by:
| Crighton, D. G.
Davis, S. H.
Hinch, E. J.
Iserles, A.
Ockendon, J.
Olver, P. J.
Ablowitz, M. J. |
| Series title: | Cambridge Texts in Applied Mathematics Ser. |
| ISBN: | 978-0-521-00924-9 |
| Publication Date: | Aug 2002 |
| Publisher: | Cambridge University Press
|
| Book Format: | Paperback |
| List Price: | USD $104.00 |
Book Description:
|
This book contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic...
More DescriptionThis book contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. The methods studied are implemented in the CLAWPACK software package and source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.